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Nonequilibrium entropy and entropy distributions
Physical Review B, 1990Glasses have nonzero zero-temperature entropies. Because they are out of equilibrium, the ``thermodynamic'' entropy, determined by heat flow, is not equal to the ``statistical'' entropy, which measures volumes in phase space. We discuss the relationship between the two kinds of entropy in nonequilibrium systems and show that the thermodynamic entropies
, Langer, , Sethna, , Grannan
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On Entropy-Stable Discretizations and the Entropy Adjoint
Journal of Scientific Computing, 2021For symmetrizable conservation laws, the entropy variables are adjoints for a functional that balances entropy flux into the domain with sources of entropy inside the domain. In this paper, it was shown that entropy-stable summation by parts (SBP) discretizations mimic an additional property of the continuous equations: the entropy adjoint. The entropy
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Best Practice & Research Clinical Anaesthesiology, 2006
The concept of entropy, originally derived from thermodynamics, has been successfully applied to EEG analysis. Various entropy algorithms have been used in clinical studies, but until now a commercially available monitor exists only for spectral entropy.
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The concept of entropy, originally derived from thermodynamics, has been successfully applied to EEG analysis. Various entropy algorithms have been used in clinical studies, but until now a commercially available monitor exists only for spectral entropy.
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Proceedings of the forty-first annual ACM symposium on Theory of computing, 2009
We put forth a new computational notion of entropy, which measures the (in)feasibility of sampling high entropy strings that are consistent with a given protocol. Specifically, we say that the i'th round of a protocol (A,B) has *accessible entropy* at most k, if no polynomial-time strategy A* can generate messages for A such that the entropy of its ...
Iftach Haitner +3 more
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We put forth a new computational notion of entropy, which measures the (in)feasibility of sampling high entropy strings that are consistent with a given protocol. Specifically, we say that the i'th round of a protocol (A,B) has *accessible entropy* at most k, if no polynomial-time strategy A* can generate messages for A such that the entropy of its ...
Iftach Haitner +3 more
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Preimage Entropy and Stable Entropy on Subsets
Journal of Statistical Physics, 2023zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Dandan Cheng, Zhiming Li, Weisheng Wu
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Entropies and cross-entropies of exponential families
2010 IEEE International Conference on Image Processing, 2010Statistical modeling of images plays a crucial role in modern image processing tasks like segmentation, object detection and restoration. Although Gaussian distributions are conveniently handled mathematically, the role of many other types of distributions has been revealed and emphasized by natural image statistics.
Frank Nielsen, Richard Nock
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SOME RESULTS ON ENTROPY AND SEQUENCE ENTROPY
International Journal of Bifurcation and Chaos, 1999In this paper we study some formulas involving metric and topological entropy and sequence entropy. We summarize some classical formulas satisfied by metric and topological entropy and ask the question whether the same or similar results hold for sequence entropy.
Balibrea, F. +2 more
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Materialwissenschaft und Werkstofftechnik, 2014
Entropy as a function of temperature at constant volume, S(T), can be determined by integrating the molar specific entropy capacity CV/T (CV: molar specific heat capacity at constant volume). As a second approach, S(T) at constant volume can be determined by differentiating the free energy with respect to the temperature, T. Recently, it has been shown
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Entropy as a function of temperature at constant volume, S(T), can be determined by integrating the molar specific entropy capacity CV/T (CV: molar specific heat capacity at constant volume). As a second approach, S(T) at constant volume can be determined by differentiating the free energy with respect to the temperature, T. Recently, it has been shown
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When is an Entropy an Entropy?
AIP Conference Proceedings, 2006I consider the conceptual arguments leading to the validity of the conventional physical approach to thermodynamics, as we know it. In spite of the familiarity we have with this approach, its internal logical structure deserves to be extracted. No new features are found, but some universal properties emerge. These are then applied to the unconventional
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Entropy Power Inequality for the Rényi Entropy
IEEE Transactions on Information Theory, 2015The classical entropy power inequality is extended to the Renyi entropy. We also discuss the question of the existence of the entropy for sums of independent random variables.
Sergey G. Bobkov, Gennadiy P. Chistyakov
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